Hyperstability of a quadratic functional equation on abelian group and inner product spaces

被引：3

作者：

El-Fassi, Iz-Iddine ^{[1
]}

Kim, Gwang Hui ^{[2
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Math, Kenitra, Morocco

[2] Kangnam Univ, Dept Math, Yongin 446702, Gyoenggi, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Hyperstability; quadratic functional equation; fixed point theorem; ULAM-RASSIAS STABILITY; FIXED-POINT APPROACH; BANACH-SPACES; MAPPINGS;

D O I：

10.22436/jnsa.009.09.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the fixed point approach, we prove some results on hyperstability of the following quadratic functional equation f(x + y + z) + f(x - y) + f(x - z) + f(y - z) = 3[f(x) + f(y) + f(z)], in the class of functions from an abelian group into a Banach space. (C) 2016 All rights reserved.

引用

页码：5353 / 5361

页数：9

共 50 条

[21] Hyperstability of a functional equation
E. Gselmann
Acta Mathematica Hungarica, 2009, 124 : 179 - 188
[22] Hyperstability of a functional equation
Gselmann, E.
ACTA MATHEMATICA HUNGARICA, 2009, 124 (1-2) : 179 - 188
[23] ON THE HYPERSTABILITY OF JENSEN FUNCTIONAL EQUATION IN 2-BANACH SPACES
Almahalebi, Muaadh
Kabbaj, Samir
Kim, Gwang Hui
FIXED POINT THEORY, 2019, 20 (02): : 417 - 429
[24] QUADRATIC MAPPINGS ASSOCIATED WITH INNER PRODUCT SPACES
Lee, Sung Jin
KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (01): : 77 - 85
[25] Hyperstability of general linear functional equation
Anna Bahyrycz
Jolanta Olko
Aequationes mathematicae, 2016, 90 : 527 - 540
[26] A functional equation related to inner product spaces in non-Archimedean L-random normed spaces
Vahidi, Javad
Park, Choonkil
Saadati, Reza
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[27] Hyperstability of general linear functional equation
Bahyrycz, Anna
Olko, Jolanta
AEQUATIONES MATHEMATICAE, 2016, 90 (03) : 527 - 540
[28] Hyperstability of the Generalized Cauchy-Jensen Functional Equation in Ultrametric Spaces
Prondanai Kaskasem
Chakkrid Kiln-Eam
Acta Mathematica Scientia, 2019, 39 : 1017 - 1032
[29] HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES
Prondanai KASKASEM
Chakkrid KILN-EAM
Acta Mathematica Scientia, 2019, 39 (04) : 1017 - 1032
[30] Asymptotic behavior of Frechet functional equation and some characterizations of inner product spaces
Park, Choonkil
Tareeghee, Mohammad Amin
Najati, Abbas
Yengejeh, Yavar Khedmati
Paokanta, Siriluk
DEMONSTRATIO MATHEMATICA, 2023, 56 (01)

← 1 2 3 4 5 →